simplify (x^3)^{-5}

Solution

simplify

(x^{3})^{- 5}

\frac{1}{x ^{15}}

Solution steps

(x^{3})^{- 5}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{3 (- 5)}

3 (- 5) = - 15

= x^{- 15}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 15} = \frac{1}{x ^{15}}

= \frac{1}{x ^{15}}

x^{2} y^{- 4} \cdot x^{3} y^{2}

\frac{( \frac{3}{w} + \frac{8}{x} )}{( \frac{8}{w} - \frac{3}{x} )}

53 + 12

3 d^{2} + 6 d + 3

21 x y - 12 b^{2} + 14 x b - 18 b y